A planar antenna can include one or more high permeability objects that are added near the planar coil's tips. Further, the planar antenna includes a coil having two or more layers, with each layer having two or more turns. The planar antenna also has a restricted conductor arrangement, where there are a maximum number of turns arranged in any horizontal layer. A turn's conductor could be a single conductor or could be two (2) or more conductors arranged in parallel.